Class: FormalContext

Inherits:
Object
  • Object
show all
Defined in:
lib/rubyfca.rb

Overview

Basic structure of the code is the same as Fcastone written in Perl by Uta Priss

Instance Method Summary collapse

Constructor Details

#initialize(input, mode, label_contraction = false) ⇒ FormalContext

Converte cxt data to three basic structures of objects, attributes, and matrix



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# File 'lib/rubyfca.rb', line 49

def initialize(input, mode, label_contraction = false)
  if input.size == 0
    showerror("File is empty", 1)
  end
  input.gsub!(" ", " ")
  begin
    case mode
    when /cxt\z/
      read_cxt(input)
    when /csv\z/
      read_csv(input)
    end
  rescue => e
    showerror("Input data contains a syntax problem.", 1)
  end
  @label_contraction = label_contraction
end

Instance Method Details

#calcurate ⇒ Object

Apply a formal concept analysis on the matrix



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# File 'lib/rubyfca.rb', line 111

def calcurate 
  @concepts, @extM, @intM = ganter_alg(@matrix)
  @relM, @reltrans, @rank = create_rel(@intM)
  @gammaM, @muM = gammaMu(@extM, @intM, @matrix)
end

#changecrosssymbol(char1, char2, lns) ⇒ Object 



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# File 'lib/rubyfca.rb', line 316

def changecrosssymbol(char1, char2, lns)
  rel = []
  lns.each do |ln|
    ary = []
    elems = ln.split(//)
    elems.each do |elem|
      if /#{char1}/i =~ elem
        ary << 1
      elsif /#{char2}/i =~ elem
        ary << 0
      end
    end
    rel << ary
  end
  rel
end

#create_rel(intensions) ⇒ Object

Output arrayconsists of the following: r (subconcept superconcept relation) rt (trans. closure of r) s (ranked concepts)



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# File 'lib/rubyfca.rb', line 221

def create_rel(intensions)
  anzCpt = intensions.size
  rank = []
  sup_con = []
  r = []
  rt = []
  s = []

  0.upto(anzCpt - 1) do |i|
    0.upto(anzCpt - 1) do |j|
      unless r[i]
        r[i] = []
      end
      r[i][j] = 0;
      unless rt[i]
        rt[i] = []
      end
      rt[i][j] = 0;
    end
  end

  1.upto(anzCpt - 1) do |i|
    rank[i] = 1
    (i - 1).downto(0) do |j|
      temp = create_and_ary(intensions[j], intensions[i])
      if temp == intensions[i]
        unless sup_con[i]
          sup_con[i] = []
        end
        sup_con[i] << j
        r[i][j] = 1
        rt[i][j] = 1
        sup_con[i].each do |elem|
          if r[elem][j] == 1
            r[i][j] = 0
            if rank[elem] >= rank [i]
              rank[i] = rank[elem] + 1
            end
            break
          end
        end
      end
    end
    unless s[rank[i]]
      s[rank[i]] = []
    end
    s[rank[i]] << i
  end  
  s = s.collect do |i|
    i ? i : [0]
  end

  [r, rt, s]
end

#gammaMu(extent, intent, cxt) ⇒ Object 



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# File 'lib/rubyfca.rb', line 276

def gammaMu(extent, intent, cxt)
  
  gamma = []
  mu = []
  invcxt = []
  0.upto(cxt[0].size - 1) do |i|
    0.upto(cxt.size - 1) do |k|
      invcxt[i] = [] unless invcxt[i]
      invcxt[i][k] = cxt[k][i]
    end
  end

  0.upto(intent.size - 1) do |j|
    0.upto(cxt.size - 1) do |i|
      gamma[i] = [] unless gamma[i]
      if cxt[i] == intent[j]
        gamma[i][j] = 2
      elsif (!@label_contraction && create_or_ary(cxt[i], intent[j]) == cxt[i])
        gamma[i][j] = 1
      else
        gamma[i][j] = 0
      end
    end
    
    0.upto(invcxt.size - 1) do |i|
      # next unless invcxt[i]
      mu[i] = [] unless mu[i]
      if invcxt[i] == extent[j]
        mu[i][j] = 2
      elsif (!@label_contraction && create_or_ary(invcxt[i], extent[j]) == invcxt[i])
        mu[i][j] = 1
      else
        mu[i][j] = 0
      end        
    end
  end
  
  [gamma, mu]
end

#ganter_alg(matrix) ⇒ Object

This is an implementation of an algorithm described by Bernhard Ganter in “Two basic algorithms in concept analysis.” Technische Hochschule Darmstadt, FB4-Preprint, 831, 1984.



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# File 'lib/rubyfca.rb', line 120

def ganter_alg(matrix)

  m = matrix

  ## all arrays except @idx are arrays of arrays of 0's and 1's
  idx = []
  extension = []
  intension = []
  ext_A = []
  int_B = []
  endkey = []
  temp = []
  
  ## the level in the lattice from the top
  lvl = 0 
  ## is lower than the index of leftmost attr
  idx[lvl] = -1     
  ## number of attr. and objs
  anzM = m.size   
  ## only needed for initialization  
  anzG = m[0].size
  ## initialize extA[0] = [1,...,1]
  anzG.times do |i|
    if !ext_A[0]
      ext_A[0] = []
    end
    ext_A[0] << 1
  end
  ## initialize extB[0] = [0,...,0]
  anzM.times do |i| 
    if !int_B[0]
      int_B[0] = []
    end
    int_B[0] << 0
  end
  anzCpt = 0
  extension[0] = ext_A[0]
  intension[0] = int_B[0]
  anzM.times do |i|
    endkey << 1
  end

  ## start of algorithm
  while int_B[lvl] != endkey
    (anzM - 1).downto(0) do |i|
      breakkey = false
      if (int_B[lvl][i] != 1)
        while (i < idx[lvl])
          lvl -= 1
        end
        idx[lvl + 1] = i
        ext_A[lvl + 1] = create_and_ary(ext_A[lvl], m[i])
        0.upto(i - 1) do |j|
          if(!breakkey && int_B[lvl][j] != 1)
            temp = create_and_ary(ext_A[lvl + 1], m[j])
            if temp == ext_A[lvl + 1]
              breakkey = true
            end
          end
        end
        unless breakkey
          int_B[lvl + 1] = int_B[lvl].dup
          int_B[lvl + 1][i] = 1
          (i+1).upto(anzM - 1) do |k|
            if int_B[lvl + 1][k] != 1
              temp = create_and_ary(ext_A[lvl + 1], m[k])
              if temp == ext_A[lvl + 1]
                int_B[lvl + 1][k] = 1
              end
            end
          end
          lvl += 1
          anzCpt += 1
          extension[anzCpt] = ext_A[lvl]
          intension[anzCpt] = int_B[lvl]
          break
        end
      end      
    end
  end

  a1 = extension[0].join("")
  a2 = extension[1].join("")
  if a1 == a2
    extension.shift
    intension.shift
    anzCpt -= 1
  end

  c = []
  0.upto(anzCpt) do |i|
    c[i] = i
  end

  [c, intension, extension]
end

#generate_dot(opts) ⇒ Object

Generate Graphviz dot data (not creating a file) For options, see ‘rubyfca’



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# File 'lib/rubyfca.rb', line 335

def generate_dot(opts)
  index_max_width = @concepts.size.to_s.split(//).size
   nodesep = opts[:nodesep] ? opts[:nodesep].to_s : "0.4"
   ranksep = opts[:ranksep] ? opts[:ranksep].to_s : "0.2"
  clattice = RubyGraphviz.new("clattice", :rankdir => "", :nodesep => nodesep, :ranksep => ranksep)

  if opts[:circle] and opts[:legend]
    legend   = RubyGraphviz.new("legend", :rankdir => "TB", :lebelloc => "t", :centered => "false")
    legend.node_default(:shape => "plaintext")
    legend.edge_default(:color => "gray60") if opts[:coloring]
    legends = []
  end

  if opts[:circle]
    clattice.node_default(:shape => "circle", :style => "filled") 
    clattice.edge_default(:dir => "none", :minlen => "2")
    clattice.edge_default(:color => "gray60") if opts[:coloring]
  else
    clattice.node_default(:shape => "record", :margin => "0.2,0.055") 
    clattice.edge_default(:dir => "none")
    clattice.edge_default(:color => "gray60") if opts[:coloring]
  end
  
  0.upto(@concepts.size - 1) do |i|
    objfull = []
    attrfull = []  
    0.upto(@gammaM.size - 1) do |j|
      if @gammaM[j][i] == 2
       # pointing finger does not appear correctly in eps... 
        # obj = opts[:full] ? @objects[j] + " " + [0x261C].pack("U") : @objects[j]
        obj = opts[:full] ? @objects[j] + "*" : @objects[j]
        objfull << obj
      elsif @gammaM[j][i] == 1
        objfull << @objects[j]
      end
    end
    0.upto(@muM.size - 1) do |k|
      if @muM[k][i] == 2
       # pointing finger does not appear correctly in eps... 
        # att = opts[:full] ? @attributes[k] + " " + [0x261C].pack("U") : @attributes[k]
        att = opts[:full] ? @attributes[k] + "*" : @attributes[k]
        attrfull << att
      elsif @muM[k][i] == 1
        attrfull << @attributes[k]
      end
    end

    concept_id = i + 1

    attr_str = attrfull.join('<br />')
    attr_str = attr_str == "" ? "     " : attr_str
    
    if opts[:coloring] == 0 or /\A\s+\z/ =~ attr_str
      attr_color = "white"
    elsif opts[:coloring] == 1
      attr_color = "lightblue"
    elsif opts[:coloring] == 2
      attr_color = "gray87"
    end
    
    obj_str = objfull.join('<br />')
    obj_str = obj_str == "" ? "     " : obj_str

    if opts[:coloring] == 0 or /\A\s+\z/ =~ obj_str
      obj_color = "white"
    elsif opts[:coloring] == 1
      obj_color = "pink"
    elsif opts[:coloring] == 2
      obj_color = "gray92"
    end

    label = "<<table border=\"0\" cellborder=\"1\" cellspacing=\"0\">" + 
    "<tr><td balign=\"left\" align=\"left\" bgcolor=\"#{attr_color}\">#{attr_str}</td></tr>" +
    "<tr><td balign=\"left\" align=\"left\"  bgcolor=\"#{obj_color}\">#{obj_str}</td></tr>" +
    "</table>>"

    if opts[:circle] and opts[:legend]

      leg = "<<table border=\"0\" cellborder=\"1\" cellspacing=\"0\">" + 
      "<tr><td rowspan=\"2\">#{concept_id}</td><td balign=\"left\" align=\"left\" bgcolor=\"#{attr_color}\">#{attr_str}</td></tr>" + 
      "<tr><td balign=\"left\" align=\"left\" bgcolor=\"#{obj_color}\">#{obj_str}</td></tr>" +
      "</table>>"

      if !attrfull.empty? or !objfull.empty?
        legend.node("cl#{concept_id}k", :label => concept_id, :style => "invis")
        legend.node("cl#{concept_id}v", :label => leg, :fillcolor => "white")
        legend.rank("cl#{concept_id}k", "cl#{concept_id}v", :style => "invis", :length => "0.0")
        if legends[-1]
          legend.edge("cl#{legends[-1]}k", "cl#{concept_id}k", :style => "invis", :length => "0.0")
        end
        legends << concept_id
      end
    end
    
    if opts[:circle]
      clattice.node("c#{i}", :width => "0.5", :fontsize => "14.0", :label => concept_id)
    else
      clattice.node("c#{i}", :label => label, :shape => "plaintext", 
                             :height => "0.0", :width => "0.0", :margin => "0.0")
    end
  end
  
  0.upto(@relM.size - 1) do |i|
    0.upto(@relM.size - 1) do |j|
      if @relM[i][j] == 1
        clattice.edge("c#{i}", "c#{j}")
      end
    end
  end
  
  clattice.subgraph(legend) if opts[:circle] and opts[:legend]
  clattice.to_dot
end

#generate_img(outfile, image_type, opts) ⇒ Object

Generate an actual graphic file (Graphviz dot needs to be installed properly)



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# File 'lib/rubyfca.rb', line 450

def generate_img(outfile, image_type, opts)
  dot = generate_dot(opts)
  isthere_dot = `dot -V 2>&1`
  if isthere_dot !~ /dot.*version/i
    showerror("Graphviz's dot program cannot be found.", 1)
  else
    if opts[:straight]
      cmd = "dot | neato -n -T#{image_type} -o#{outfile} 2>rubyfca.log"
    else
      cmd = "dot -T#{image_type} -o#{outfile} 2>rubyfca.log"
    end
    IO.popen(cmd, 'r+') do |io|
      io.puts dot
    end
  end
end

#read_csv(input) ⇒ Object

process csv data using the standard csv library



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# File 'lib/rubyfca.rb', line 81

def read_csv(input)
  input = remove_blank(input)
  data = CSV.parse(input)
  @objects = trim_ary(data.transpose.first[1..-1])
  @attributes = trim_ary(data.first[1..-1])
  @matrix = []
  data[1..-1].each do |line|
    @matrix << line[1..-1].collect { |cell| /x/i =~ cell ? 1 : 0 }
  end
end

#read_cxt(input) ⇒ Object

process cxt data



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# File 'lib/rubyfca.rb', line 68

def read_cxt(input)
  lines = input.split
  t1 = 3
  if (lines[0] !~ /B/i || (2 * lines[1].to_i + lines[2].to_i + t1) != lines.size)
    showerror("Wrong cxt format!", 1)
  end
  @objects    = lines[t1..(lines[1].to_i + t1 - 1)]
  @attributes = lines[(lines[1].to_i + t1) .. (lines[1].to_i + lines[2].to_i + t1 - 1)]
  lines      = lines[(lines[1].to_i + lines[2].to_i + t1) .. lines.size]
  @matrix     = changecrosssymbol("X", "\\.", lines)    
end

#remove_blank(input) ⇒ Object 



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# File 'lib/rubyfca.rb', line 92

def remove_blank(input)
  blank_removed = ""
  input.split("\n").each do |line|
    line = line.strip
    unless /\A\s*\z/ =~ line
      blank_removed << line + "\n"
    end
  end
  blank_removed
end

#trim_ary(ary) ⇒ Object 



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# File 'lib/rubyfca.rb', line 103

def trim_ary(ary)
  newary = ary.collect do |cell|
    cell.strip
  end
  newary
end